5832820 has 48 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1964160.

The previous prime is 5832803. The next prime is 5832839. The reversal of 5832820 is 282385.

5832820 = T₈₅ + T₈₆ + ... + T₃₂₈.

5832820 is a nontrivial binomial coefficient, being equal to C(3416, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8199 + ... + 8881.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^5832820 is an apocalyptic number.

5832820 is the 3415-th triangular number and also the 1708-th hexagonal number.

5832820 is the 1139-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

5832820 is an abundant number, since it is smaller than the sum of its proper divisors (8416268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5832820 is a wasteful number, since it uses less digits than its factorization.

5832820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5832820 is about 2415.1231852641. The cubic root of 5832820 is about 180.0084358186.

It can be divided in two parts, 583 and 2820, that added together give a triangular number (3403 = T₈₂).

The spelling of 5832820 in words is "five million, eight hundred thirty-two thousand, eight hundred twenty".